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Finding the Fourth Proportional to 10,705.19, 16,056.16 and 2,914.61

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Solution

The fourth proportional to 10,705.19, 16,056.16 and 2,914.61 is: 4,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.19 : 16,056.16 = 2,914.61 : x
  2. Step 2: Convert to fraction form
    10,705.19/16,056.16 = 2,914.61/x
  3. Step 3: Cross multiply
    10,705.19x = 16,056.16 × 2,914.61
  4. Step 4: Simplify right side
    10,705.19x = 46,797,444.50
  5. Step 5: Solve for x
    x = 46,797,444.50/10,705.19
  6. Step 6: Final answer
    x = 4,371.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.